Extensions 1→N→G→Q→1 with N=C₂³⋊C₄ and Q=C₄

Direct product G=N×Q with N=C₂³⋊C₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₂³⋊C₄		32		C4xC2^3:C4	128,486

Semidirect products G=N:Q with N=C₂³⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄⋊₁C₄ = C₂⁴.₅D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³⋊C₄	32		C2^3:C4:1C4	128,122
C₂³⋊C₄⋊₂C₄ = C₂³.₂C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂³⋊C₄	32	4	C2^3:C4:2C4	128,123
C₂³⋊C₄⋊₃C₄ = C₂⁴.₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³⋊C₄	32		C2^3:C4:3C4	128,125
C₂³⋊C₄⋊₄C₄ = C₂⁴.₂₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³⋊C₄	32		C2^3:C4:4C4	128,599

Non-split extensions G=N.Q with N=C₂³⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄.₁C₄ = (C₂²×C₈)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³⋊C₄	32	4	C2^3:C4.1C4	128,127
C₂³⋊C₄.₂C₄ = (C₂×D₄).Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂³⋊C₄	32	4	C2^3:C4.2C4	128,600
C₂³⋊C₄.₃C₄ = C₂³.₅C₄²	φ: trivial image	32	4	C2^3:C4.3C4	128,489

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